Let's roll up our sleeves and solve this. We have 345 and we're going to multiply it by 338, essentially adding 345 to itself 338 times.
Step 1: 0 + 345 = 345
Step 2: 345 + 345 = 690
Step 3: 690 + 345 = 1035
Step 4: 1035 + 345 = 1380
Step 5: 1380 + 345 = 1725
Step 6: 1725 + 345 = 2070
Step 7: 2070 + 345 = 2415
Step 8: 2415 + 345 = 2760
Step 9: 2760 + 345 = 3105
Step 10: 3105 + 345 = 3450
Step 11: 3450 + 345 = 3795
Step 12: 3795 + 345 = 4140
Step 13: 4140 + 345 = 4485
Step 14: 4485 + 345 = 4830
Step 15: 4830 + 345 = 5175
Step 16: 5175 + 345 = 5520
Step 17: 5520 + 345 = 5865
Step 18: 5865 + 345 = 6210
Step 19: 6210 + 345 = 6555
Step 20: 6555 + 345 = 6900
Step 21: 6900 + 345 = 7245
Step 22: 7245 + 345 = 7590
Step 23: 7590 + 345 = 7935
Step 24: 7935 + 345 = 8280
Step 25: 8280 + 345 = 8625
Step 26: 8625 + 345 = 8970
Step 27: 8970 + 345 = 9315
Step 28: 9315 + 345 = 9660
Step 29: 9660 + 345 = 10005
Step 30: 10005 + 345 = 10350
Step 31: 10350 + 345 = 10695
Step 32: 10695 + 345 = 11040
Step 33: 11040 + 345 = 11385
Step 34: 11385 + 345 = 11730
Step 35: 11730 + 345 = 12075
Step 36: 12075 + 345 = 12420
Step 37: 12420 + 345 = 12765
Step 38: 12765 + 345 = 13110
Step 39: 13110 + 345 = 13455
Step 40: 13455 + 345 = 13800
Step 41: 13800 + 345 = 14145
Step 42: 14145 + 345 = 14490
Step 43: 14490 + 345 = 14835
Step 44: 14835 + 345 = 15180
Step 45: 15180 + 345 = 15525
Step 46: 15525 + 345 = 15870
Step 47: 15870 + 345 = 16215
Step 48: 16215 + 345 = 16560
Step 49: 16560 + 345 = 16905
Step 50: 16905 + 345 = 17250
Step 51: 17250 + 345 = 17595
Step 52: 17595 + 345 = 17940
Step 53: 17940 + 345 = 18285
Step 54: 18285 + 345 = 18630
Step 55: 18630 + 345 = 18975
Step 56: 18975 + 345 = 19320
Step 57: 19320 + 345 = 19665
Step 58: 19665 + 345 = 20010
Step 59: 20010 + 345 = 20355
Step 60: 20355 + 345 = 20700
Step 61: 20700 + 345 = 21045
Step 62: 21045 + 345 = 21390
Step 63: 21390 + 345 = 21735
Step 64: 21735 + 345 = 22080
Step 65: 22080 + 345 = 22425
Step 66: 22425 + 345 = 22770
Step 67: 22770 + 345 = 23115
Step 68: 23115 + 345 = 23460
Step 69: 23460 + 345 = 23805
Step 70: 23805 + 345 = 24150
Step 71: 24150 + 345 = 24495
Step 72: 24495 + 345 = 24840
Step 73: 24840 + 345 = 25185
Step 74: 25185 + 345 = 25530
Step 75: 25530 + 345 = 25875
Step 76: 25875 + 345 = 26220
Step 77: 26220 + 345 = 26565
Step 78: 26565 + 345 = 26910
Step 79: 26910 + 345 = 27255
Step 80: 27255 + 345 = 27600
Step 81: 27600 + 345 = 27945
Step 82: 27945 + 345 = 28290
Step 83: 28290 + 345 = 28635
Step 84: 28635 + 345 = 28980
Step 85: 28980 + 345 = 29325
Step 86: 29325 + 345 = 29670
Step 87: 29670 + 345 = 30015
Step 88: 30015 + 345 = 30360
Step 89: 30360 + 345 = 30705
Step 90: 30705 + 345 = 31050
Step 91: 31050 + 345 = 31395
Step 92: 31395 + 345 = 31740
Step 93: 31740 + 345 = 32085
Step 94: 32085 + 345 = 32430
Step 95: 32430 + 345 = 32775
Step 96: 32775 + 345 = 33120
Step 97: 33120 + 345 = 33465
Step 98: 33465 + 345 = 33810
Step 99: 33810 + 345 = 34155
Step 100: 34155 + 345 = 34500
Step 101: 34500 + 345 = 34845
Step 102: 34845 + 345 = 35190
Step 103: 35190 + 345 = 35535
Step 104: 35535 + 345 = 35880
Step 105: 35880 + 345 = 36225
Step 106: 36225 + 345 = 36570
Step 107: 36570 + 345 = 36915
Step 108: 36915 + 345 = 37260
Step 109: 37260 + 345 = 37605
Step 110: 37605 + 345 = 37950
Step 111: 37950 + 345 = 38295
Step 112: 38295 + 345 = 38640
Step 113: 38640 + 345 = 38985
Step 114: 38985 + 345 = 39330
Step 115: 39330 + 345 = 39675
Step 116: 39675 + 345 = 40020
Step 117: 40020 + 345 = 40365
Step 118: 40365 + 345 = 40710
Step 119: 40710 + 345 = 41055
Step 120: 41055 + 345 = 41400
Step 121: 41400 + 345 = 41745
Step 122: 41745 + 345 = 42090
Step 123: 42090 + 345 = 42435
Step 124: 42435 + 345 = 42780
Step 125: 42780 + 345 = 43125
Step 126: 43125 + 345 = 43470
Step 127: 43470 + 345 = 43815
Step 128: 43815 + 345 = 44160
Step 129: 44160 + 345 = 44505
Step 130: 44505 + 345 = 44850
Step 131: 44850 + 345 = 45195
Step 132: 45195 + 345 = 45540
Step 133: 45540 + 345 = 45885
Step 134: 45885 + 345 = 46230
Step 135: 46230 + 345 = 46575
Step 136: 46575 + 345 = 46920
Step 137: 46920 + 345 = 47265
Step 138: 47265 + 345 = 47610
Step 139: 47610 + 345 = 47955
Step 140: 47955 + 345 = 48300
Step 141: 48300 + 345 = 48645
Step 142: 48645 + 345 = 48990
Step 143: 48990 + 345 = 49335
Step 144: 49335 + 345 = 49680
Step 145: 49680 + 345 = 50025
Step 146: 50025 + 345 = 50370
Step 147: 50370 + 345 = 50715
Step 148: 50715 + 345 = 51060
Step 149: 51060 + 345 = 51405
Step 150: 51405 + 345 = 51750
Step 151: 51750 + 345 = 52095
Step 152: 52095 + 345 = 52440
Step 153: 52440 + 345 = 52785
Step 154: 52785 + 345 = 53130
Step 155: 53130 + 345 = 53475
Step 156: 53475 + 345 = 53820
Step 157: 53820 + 345 = 54165
Step 158: 54165 + 345 = 54510
Step 159: 54510 + 345 = 54855
Step 160: 54855 + 345 = 55200
Step 161: 55200 + 345 = 55545
Step 162: 55545 + 345 = 55890
Step 163: 55890 + 345 = 56235
Step 164: 56235 + 345 = 56580
Step 165: 56580 + 345 = 56925
Step 166: 56925 + 345 = 57270
Step 167: 57270 + 345 = 57615
Step 168: 57615 + 345 = 57960
Step 169: 57960 + 345 = 58305
Step 170: 58305 + 345 = 58650
Step 171: 58650 + 345 = 58995
Step 172: 58995 + 345 = 59340
Step 173: 59340 + 345 = 59685
Step 174: 59685 + 345 = 60030
Step 175: 60030 + 345 = 60375
Step 176: 60375 + 345 = 60720
Step 177: 60720 + 345 = 61065
Step 178: 61065 + 345 = 61410
Step 179: 61410 + 345 = 61755
Step 180: 61755 + 345 = 62100
Step 181: 62100 + 345 = 62445
Step 182: 62445 + 345 = 62790
Step 183: 62790 + 345 = 63135
Step 184: 63135 + 345 = 63480
Step 185: 63480 + 345 = 63825
Step 186: 63825 + 345 = 64170
Step 187: 64170 + 345 = 64515
Step 188: 64515 + 345 = 64860
Step 189: 64860 + 345 = 65205
Step 190: 65205 + 345 = 65550
Step 191: 65550 + 345 = 65895
Step 192: 65895 + 345 = 66240
Step 193: 66240 + 345 = 66585
Step 194: 66585 + 345 = 66930
Step 195: 66930 + 345 = 67275
Step 196: 67275 + 345 = 67620
Step 197: 67620 + 345 = 67965
Step 198: 67965 + 345 = 68310
Step 199: 68310 + 345 = 68655
Step 200: 68655 + 345 = 69000
Step 201: 69000 + 345 = 69345
Step 202: 69345 + 345 = 69690
Step 203: 69690 + 345 = 70035
Step 204: 70035 + 345 = 70380
Step 205: 70380 + 345 = 70725
Step 206: 70725 + 345 = 71070
Step 207: 71070 + 345 = 71415
Step 208: 71415 + 345 = 71760
Step 209: 71760 + 345 = 72105
Step 210: 72105 + 345 = 72450
Step 211: 72450 + 345 = 72795
Step 212: 72795 + 345 = 73140
Step 213: 73140 + 345 = 73485
Step 214: 73485 + 345 = 73830
Step 215: 73830 + 345 = 74175
Step 216: 74175 + 345 = 74520
Step 217: 74520 + 345 = 74865
Step 218: 74865 + 345 = 75210
Step 219: 75210 + 345 = 75555
Step 220: 75555 + 345 = 75900
Step 221: 75900 + 345 = 76245
Step 222: 76245 + 345 = 76590
Step 223: 76590 + 345 = 76935
Step 224: 76935 + 345 = 77280
Step 225: 77280 + 345 = 77625
Step 226: 77625 + 345 = 77970
Step 227: 77970 + 345 = 78315
Step 228: 78315 + 345 = 78660
Step 229: 78660 + 345 = 79005
Step 230: 79005 + 345 = 79350
Step 231: 79350 + 345 = 79695
Step 232: 79695 + 345 = 80040
Step 233: 80040 + 345 = 80385
Step 234: 80385 + 345 = 80730
Step 235: 80730 + 345 = 81075
Step 236: 81075 + 345 = 81420
Step 237: 81420 + 345 = 81765
Step 238: 81765 + 345 = 82110
Step 239: 82110 + 345 = 82455
Step 240: 82455 + 345 = 82800
Step 241: 82800 + 345 = 83145
Step 242: 83145 + 345 = 83490
Step 243: 83490 + 345 = 83835
Step 244: 83835 + 345 = 84180
Step 245: 84180 + 345 = 84525
Step 246: 84525 + 345 = 84870
Step 247: 84870 + 345 = 85215
Step 248: 85215 + 345 = 85560
Step 249: 85560 + 345 = 85905
Step 250: 85905 + 345 = 86250
Step 251: 86250 + 345 = 86595
Step 252: 86595 + 345 = 86940
Step 253: 86940 + 345 = 87285
Step 254: 87285 + 345 = 87630
Step 255: 87630 + 345 = 87975
Step 256: 87975 + 345 = 88320
Step 257: 88320 + 345 = 88665
Step 258: 88665 + 345 = 89010
Step 259: 89010 + 345 = 89355
Step 260: 89355 + 345 = 89700
Step 261: 89700 + 345 = 90045
Step 262: 90045 + 345 = 90390
Step 263: 90390 + 345 = 90735
Step 264: 90735 + 345 = 91080
Step 265: 91080 + 345 = 91425
Step 266: 91425 + 345 = 91770
Step 267: 91770 + 345 = 92115
Step 268: 92115 + 345 = 92460
Step 269: 92460 + 345 = 92805
Step 270: 92805 + 345 = 93150
Step 271: 93150 + 345 = 93495
Step 272: 93495 + 345 = 93840
Step 273: 93840 + 345 = 94185
Step 274: 94185 + 345 = 94530
Step 275: 94530 + 345 = 94875
Step 276: 94875 + 345 = 95220
Step 277: 95220 + 345 = 95565
Step 278: 95565 + 345 = 95910
Step 279: 95910 + 345 = 96255
Step 280: 96255 + 345 = 96600
Step 281: 96600 + 345 = 96945
Step 282: 96945 + 345 = 97290
Step 283: 97290 + 345 = 97635
Step 284: 97635 + 345 = 97980
Step 285: 97980 + 345 = 98325
Step 286: 98325 + 345 = 98670
Step 287: 98670 + 345 = 99015
Step 288: 99015 + 345 = 99360
Step 289: 99360 + 345 = 99705
Step 290: 99705 + 345 = 100050
Step 291: 100050 + 345 = 100395
Step 292: 100395 + 345 = 100740
Step 293: 100740 + 345 = 101085
Step 294: 101085 + 345 = 101430
Step 295: 101430 + 345 = 101775
Step 296: 101775 + 345 = 102120
Step 297: 102120 + 345 = 102465
Step 298: 102465 + 345 = 102810
Step 299: 102810 + 345 = 103155
Step 300: 103155 + 345 = 103500
Step 301: 103500 + 345 = 103845
Step 302: 103845 + 345 = 104190
Step 303: 104190 + 345 = 104535
Step 304: 104535 + 345 = 104880
Step 305: 104880 + 345 = 105225
Step 306: 105225 + 345 = 105570
Step 307: 105570 + 345 = 105915
Step 308: 105915 + 345 = 106260
Step 309: 106260 + 345 = 106605
Step 310: 106605 + 345 = 106950
Step 311: 106950 + 345 = 107295
Step 312: 107295 + 345 = 107640
Step 313: 107640 + 345 = 107985
Step 314: 107985 + 345 = 108330
Step 315: 108330 + 345 = 108675
Step 316: 108675 + 345 = 109020
Step 317: 109020 + 345 = 109365
Step 318: 109365 + 345 = 109710
Step 319: 109710 + 345 = 110055
Step 320: 110055 + 345 = 110400
Step 321: 110400 + 345 = 110745
Step 322: 110745 + 345 = 111090
Step 323: 111090 + 345 = 111435
Step 324: 111435 + 345 = 111780
Step 325: 111780 + 345 = 112125
Step 326: 112125 + 345 = 112470
Step 327: 112470 + 345 = 112815
Step 328: 112815 + 345 = 113160
Step 329: 113160 + 345 = 113505
Step 330: 113505 + 345 = 113850
Step 331: 113850 + 345 = 114195
Step 332: 114195 + 345 = 114540
Step 333: 114540 + 345 = 114885
Step 334: 114885 + 345 = 115230
Step 335: 115230 + 345 = 115575
Step 336: 115575 + 345 = 115920
Step 337: 115920 + 345 = 116265
Step 338: 116265 + 345 = 116610

So, 345*338 = 116610